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Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations

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  • M. Sameeh
  • A. Elsaid

Abstract

An efficient technique for solving parabolic partial integrodifferential equation is presented. This technique is based on Chebyshev polynomials and finite difference method. A priori error estimate for the proposed technique is deduced. Some examples are presented to illustrate the validity and efficiency of the presented method.

Suggested Citation

  • M. Sameeh & A. Elsaid, 2016. "Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-7, December.
    • Handle: RePEc:hin:jnlamp:7854806
    DOI: 10.1155/2016/7854806
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    Cited by:

    1. Yüzbaşı, Şuayip & Yıldırım, Gamze, 2022. "A collocation method to solve the parabolic-type partial integro-differential equations via Pell–Lucas polynomials," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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